Answer:
B.
Step-by-step explanation:
I graphed it but you could also use the y intercept to determine which function matches the graph
log(x+1)<u>+3</u>
the +3 at the end of the function makes the y-intercept positive 3
Answer:
tan56°
Step-by-step explanation:
The Addition identity for tangent ratio is
tan(x + y) = 
, thus
= tan(24 + 32)° = tan56°
Well this is simple a calculator type problem...but if you are curious as the the algorithm used by simple calculators and such...
They use a Newtonian approximation until it surpasses the precision level of the calculator or computer program..
A newtonian approximation is an interative process that gets closer and closer to the actual answer to any mathematical problem...it is of the form:
x-(f(x)/(df/dx))
In a square root problem you wish to know:
x=√n where x is the root and n is the number
x^2=n
x^2-n=0
So f(x)=x^2-n and df/dx=2x so using the definition of the newton approximation you have:
x-((x^2-n)/(2x)) which simplifies further to:
(2x^2-x^2+n)/(2x)
(x^2+n)/(2x), where you can choose any starting value of x that you desire (though convergence to an exact (if possible) solution will be swifter the closer xi is to the actual value x)
In this case the number, n=95.54, so a decent starting value for x would be 10.
Using this initial x in (x^2+95.54)/(2x) will result in the following iterative sequence of x.
10, 9.777, 9.774457, 9.7744565, 9.7744565066299210578124802523397
The calculator result for my calc is: 9.7744565066299210578124802523381
So you see how accurate the newton method is in just a few iterations. :P
Answer: OPTION B
Step-by-step explanation:
You can observe that the exercise provides you two Linear functions.
The first Linear function is the function f(x). This is:
And the other Linear function is the function g(x):
In order to find 
, you need to follow these steps shown below:
<u>Step 1</u>:
You must substitute the function f(x) into the function g(x); this means that the function f(x) will be in the place of the variable "x" of the function g(x); as you can observe below:
<u>Step 2</u>:
Finally you must combine the like terms (You can notice that the like terms are 1 and 14; then you must add them). Therefore, you get that is:
Answer:
Step-by-step explanation:
32 cm = 0.32m
